The radial integrals (REF ) involve the Dirac radial functions \(g_{\kappa ,E}(r)\) 
and \(f_{\kappa ,E}(r)\)  for the initial bound electron and the final continuum electron.
We assume a potential of a Coulombic form \(V(r)=-\alpha Z_{\mathrm {eff}} /r\) , where
\(Z_{\mathrm {eff}}\)  is an effective nuclear charge.
The radial Dirac equations (REF ) then have analytic
solutions [1]} in terms of confluent hypergeometric functions \({}_{1}F_{1}(a,c,z)\) .
